GCD of 147, 397, 287, 420 Calculator

Given Input numbers are 147, 397, 287, 420

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 147, 397, 287, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 397, 287, 420 is 1.

Therefore, GCD of numbers 147, 397, 287, 420 is 1

Given Input Data is 147, 397, 287, 420

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 397 is 397

Prime Factorization of 287 is 7 x 41

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(147, 397) = 58359

GCD(147, 397) = ( 147 x 397 ) / 58359

GCD(147, 397) = 58359 / 58359

GCD(147, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 147, 397, 287, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 919, 814, 205
• GCD of 431, 582, 179, 630
• GCD of 992, 874, 655, 536
• GCD of 634, 848, 851, 917
• GCD of 323, 891, 286, 910

1. What is the GCD of 147, 397, 287, 420?

GCD of 147, 397, 287, 420 is 1

2. Where do I get the detailed procedure to find GCD of 147, 397, 287, 420?

You can find a detailed procedure to find GCD of 147, 397, 287, 420 on our page.

3. How to find GCD of 147, 397, 287, 420 on a calculator?

You can find the GCD of 147, 397, 287, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.